Rossana heads the finance department of a small city. This year, the budget for the department is 1.32 million dollars. If Rossana is asked to bring the department's budget to under 1.12 million dollars next year, which of the following can be used to represent x, the amount of money, in millions of dollars, Rossana must cut from the department's budget? Choose 1 answer: (A) 1.32-x 1.12 (B) 1.32-x 1.12 (D) x-1.32

Question

Rossana heads the finance department of a small city. This year, the budget for the department is 1.32 million dollars. If Rossana is asked to bring the department's budget to under 1.12 million dollars next year, which of the following can be used to represent x, the amount of money, in millions of dollars, Rossana must cut from the department's budget? Choose 1 answer: (A) 1.32-x > 1.12 (B) 1.32-x < 1.12 (C) x-1.32 > 1.12 (D) x-1.32 < 1.12

Bytelearn · Accepted Answer

Set up equation: Rossana needs to reduce the budget from 1.32 million dollars to under 1.12 million dollars. To find out how much needs to be cut, we can set up an equation where x represents the amount to be cut from the current budget of 1.32 million dollars. The new budget after the cut should be less than 1.12 million dollars.Express situation with equation: We can express this situation with the equation 1.32 - x, where x is the amount cut. To ensure the new budget is less than 1.12 million dollars, we set up the inequality 1.32 - x < 1.12.Check options: Now we check the options given to see which one matches our inequality. Option (B) states 1.32 - x < 1.12, which is exactly the inequality we have derived.

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